Subdivison Surface Modifier / UV islands boundary Problem
to get the same result as Maya/3DS Max, follow these steps:


apply SubSurf modifier with Sharp option instead of Smooth, keep corners


your uv layout will be changed into this (notice the sharp borders)


select uv's borders and pin them (press P key), so those vertices will keep the position in the uv-space (pinned vertices are red)


select all vertices (in the uv editor) and press U to update all the other vertices - you should get this result